The anti-player is still a player. However, the way he meets women is by keeping things intimate – so she can trust him more, and he can move faster.
Do women sometimes hit you with player accusations?
Does it feel like girls you approach are skeptical of you? As if they keep their guards up, not wanting to be so vulnerable with you they get hurt?
This is how people are with those they don't trust. Players are people women don't trust. A woman might be attracted to a player, but she often won't trust him.
And if she doesn't trust you, she probably won't go to bed with you.
There are a few different ways to overcome this 'player problem' and sleep with lots of girls.
One of the more reliable ways is what we might call 'being the anti-player'... really just a series of tactics that let you show a woman you are not going to hurt her or ditch her.